Alaa Mohamed Boukholkhal

Research

I am interested in problems of conformal and isometric embeddings, and in the h-principle and flexibility phenomena in general.

• The 1-parametric h-principle for smooth conformal immersions of surfaces, ArXiv
  
• C1-isometric embeddings of Riemannian spaces in Lorentzian spaces, ArXiv - Published
  Differential Geom. Appl. (2025).
• Flexibility and rigidity of conformal embeddings in Lorentzian manifolds. ArXiv - Published
  Int. Math. Res. Not. IMRN (2025).

Teaching

• Introduction to algebraic topology (April 2024 - June 2024): An introductory course for MathWin students. See here.
• Riemannian Geometry tutorials (January 2024 - April 2024), École normale supérieure de Lyon, France.
• Differential Geometry tutorials (January 2023 - April 2023), École normale supérieure de Lyon, France.
• Mini course in topology (December 2022): A mini-course in Topology for MathWin students.

MathWin

Some of my activities as a member of the MathWin project:

• In December 2024, I organized the Pure Math Day 2024.
• I am an organizer of the Tassili Sunday Maths Seminar.
• I am a member of the MathWin Educational Program.
• In April 2023, I organized with Younes Benyahia the Pure Math Open Days for undergraduate students in Algeria.